Heat Capacity of Air and Energy needed

In summary, heat capacity refers to the amount of energy needed to increase the temperature of a substance by one degree. For air, it is the amount of energy required to raise the temperature of a certain volume of air by one degree. This can be calculated using the formula Q = mcΔT, where Q is the energy, m is the mass of air, c is the specific heat capacity, and ΔT is the change in temperature. The specific heat capacity of air is approximately 1.005 kJ/kg·K at standard atmospheric pressure and a temperature of 20°C, but can vary depending on factors such as temperature, pressure, humidity, and composition of air. The heat capacity of air also plays a crucial role in
  • #1
Insanity
58
0
Trying to determine the amount of energy required to heat a specific volume of air by a certain change in temperature. So far this is what I gotten.

Vol: 10,000 cubic feet = 283.17 m^3
Orig Temp: 0C (32F)
Final Temp: 21.1C (70F)
deltaT: 21.1 K or C
Density of air @ 0C: 1.293 kg/m^3
Cp @0C: 1.005 kJ/kg*K

So my math is

283.17 m^3 * 1.293 kg/m^3 = 366.14 kg
1.005 kJ/kg*K * 366.14 kg * 21.1 K = 7,764.11 kJ

Does this seem correct to the eyes of others?

Been puzzling over heating costs and this is one step.
 
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  • #2
Looks right, yeah...
 

Related to Heat Capacity of Air and Energy needed

1. What is heat capacity and how does it relate to air?

Heat capacity is the amount of energy required to raise the temperature of a substance by one degree. In the case of air, it refers to the amount of energy needed to increase the temperature of a certain volume of air by one degree.

2. How is heat capacity of air calculated?

The heat capacity of air can be calculated using the formula: Q = mcΔT, where Q is the amount of energy (in Joules), m is the mass of air (in kilograms), c is the specific heat capacity of air (in Joules per kilogram per degree Celsius), and ΔT is the change in temperature (in degrees Celsius).

3. What is the specific heat capacity of air?

The specific heat capacity of air is approximately 1.005 kJ/kg·K at standard atmospheric pressure and a temperature of 20°C. However, this value can vary slightly depending on the temperature and pressure of the air.

4. How does the heat capacity of air affect weather patterns?

The heat capacity of air plays a crucial role in weather patterns as it determines how much energy is needed to change the temperature of the air. Air with a higher heat capacity will require more energy to change its temperature, resulting in more stable weather conditions. Conversely, air with a lower heat capacity will experience more rapid temperature changes, leading to more volatile weather patterns.

5. What factors can affect the heat capacity of air?

The main factors that can affect the heat capacity of air include temperature, pressure, and humidity. Other factors such as the composition of air, altitude, and wind can also have an impact. Additionally, the heat capacity of air can vary depending on the type of gas present, as well as any impurities or pollutants in the air.

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